138870345244800
138,870,345,244,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138870345244800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
138870345244800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138870345244800:
27 × 3 × 52 × 134 × 192 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 13 × 19 × 19 × 23 × 61)See below for interesting mathematical facts about the number 138870345244800 from the Numbermatics database.
Names of 138870345244800
- Cardinal: 138870345244800 can be written as One hundred thirty-eight trillion, eight hundred seventy billion, three hundred forty-five million, two hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.388703452448 × 1014
Factors of 138870345244800
Divisors of 138870345244800
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 23 24 25 26 30 32 38 39 40 46 48 50 52 57 60 61 64 65 69 75 76 78 80 92 95 96 100 104 114 115 120 122 128 130 138 150 152 156 160 169 183 184 190 192 195 200 208 228 230 240 244 247 260 276 285 299 300 304 305 312 320 325 338 345 361 366 368 380 384 390 400 416 437 456 460 475 480 488 494 507 520 552 570 575 598 600 608 610 624 640 650 676 690 722 732 736 741 760 780 793 800 832 845 874 897 912 915 920 950 960 975 976 988 1014 1040 1083 1104 1140 1150 1159 1196 1200 1216 1220 1235 1248 1300 1311 1352 1380 1403 1425 1444 1464 1472 1482 1495 1520 1525 1560 1586 1600 1664 1690 1725 1748 1794 1805 1824 1830 1840 1900 1920 1950 1952 1976 2028 2080 2166 2185 2197 2208 2280 2300 2318 2379 2392 2400 2432 2440 2470 2496 2535 2600 2622 2704 2760 2806 2850 2888 2928 2944 2964 2990 3040 3050 3120 3172 3200 3211 3380 3450 3477 3496 3588 3610 3648 3660 3680 3705 3800 3887 3900 3904 3952 3965 4056 4160 4209 4225 4332 4370 4394 4416 4485 4560 4575 4600 4636 4693 4758 4784 4800 4880 4940 4992 5070 5200 5244 5408 5415 5520 5612 5681 5700 5776 5795 5856 5928 5980 6080 6100 6175 6240 6344 6422 6555 6591 6760 6900 6954 6992 7015 7176 7220 7296 7320 7360 7410 7475 7600 7774 7800 7808 7904 7930 8112 8303 8320 8418 8450 8664 8740 8788 8832 8970 9025 9120 9150 9200 9272 9386 9516 9568 9600 9633 9760 9880 10140 10309 10400 10488 10816 10830 10925 10985 11040 11224 11362 11400 11552 11590 11661 11712 11856 11895 11960 12160 12200 12350 12480 12675 12688 12844 13110 13182 13520 13800 13908 13984 14030 14079 14352 14440 14640 14720 14820 14950 15067 15200 15548 15600 15808 15860 16055 16224 16606 16836 16900 17043 17328 17385 17480 17576 17940 18050 18239 18240 18300 18400 18525 18544 18772 19032 19136 19266 19435 19520 19760 19825 20280 20618 20800 20976 21045 21632 21660 21850 21970 22021 22080 22425 22448 22724 22800 23104 23180 23322 23424 23465 23712 23790 23920 24400 24700 24909 24960 25350 25376 25688 26220 26364 26657 27040 27075 27600 27816 27968 28060 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6620439800 6676458906 6735393600 6847650160 7004809344 7027851480 7114259490 7145374080 7208052800 7257020550 7296676400 7397738400 7488694200 7496374912 7547301372 7588543456 7613505770 7613923200 7693647936 7740821920 7901134800 7944527760 7987940480 8014216600 8148233600 8217180192 8248416800 8362660800 8559562700 8649663360 8756011680 8784814350 8901945208 8931717600 9136206924 9216854400 9288986304 9370468640 9434126715 9485679320 9617059920 9676027400 9863651200 9898100160 9930659700 9984925600 10063068496 10271475240 10534846400 10592703680 10812079200 10945014600 10956240256 11127431510 11244562368 11382815184 11420258655 11611232880 11674682240 11713085800 11857099150 11908956800 11981910720 12021324900 12181609232 12222350400 12372625200 12578835620 12641815680 12711244416 12822746560 12839344050 13240879600 13352917812 13470787200 13695300320 14055702960 14228518980 14416105600 14465660963 14514041100 14593352800 14795476800 14977388400 15094602744 15177086912 15227011540 15387295872 15481643840 15723544525 15802269600 15889055520 16028433200 16434360384 16496833600 16691147265 16725321600 17119125400 17512023360 17569628700 17785648725 17803890416 17863435200 18272413848 18577972608 18740937280 18868253430 18971358640 19033764425 19234119840 19352054800 19796200320 19861319400 19969851200 20126136992 20542950480 21069692800 21185407360 21624158400 21890029200 22254863020 22489124736 22765630368 22840517310 23222465760 23426171600 23714198300 23963821440 24042649800 24363218464 24444700800 24745250400 25157671240 25645493120 25678688100 26481759200 26705835624 27390600640 27818578775 28111405920 28457037960 28931321926 29028082200 29186705600 29590953600 29954776800 30189205488 30354173824 30454023080 30963287680 31447089050 31604539200 31778111040 32056866400 32868720768 32993667200 33382294530 34238250800 35024046720 35139257400 35571297450 35607780832 35726870400 36544827696 37481874560 37736506860 37942717280 38067528850 38468239680 38704109600 39722638800 39939702400 40252273984 41085900960 43248316800 43396982889 43780058400 44509726040 45531260736 45681034620 46444931520 46852343200 47170633575 47428396600 48085299600 48726436928 49490500800 50315342480 51357376200 52963518400 53411671248 54781201280 55637157550 56222811840 56914075920 57101293275 57862643852 58056164400 58373411200 59909553600 60378410976 60908046160 62894178100 63209078400 63556222080 64113732800 66764589060 68476501600 70278514800 71142594900 71215561664 72328304815 73089655392 75473013720 75885434560 76135057700 76936479360 77408219200 79445277600 80504547968 82171801920 83455736325 86793965778 87560116800 89019452080 91062521472 91362069240 92889863040 93704686400 94341267150 94856793200 96170599200 97452873856 98981001600 100630684960 102714752400 105927036800 106823342496 111274315100 112445623680 113828151840 114202586550 115725287704 116112328800 119819107200 120756821952 121816092320 125788356200 128227465600 133529178120 136953003200 140557029600 142285189800 142431123328 144656609630 146179310784 150946027440 151770869120 152270115400 154816438400 158890555200 164343603840 166911472650 173587931556 175120233600 178038904160 182724138480 187409372800 188682534300 189713586400 192341198400 201261369920 205429504800 213646684992 216984914445 222548630200 227656303680 228405173100 231450575408 232224657600 241513643904 243632184640 251576712400 267058356240 273906006400 281114059200 284570379600 289313219260 292358621568 301892054880 304540230800 317781110400 333822945300 347175863112 356077808320 361641524075 365448276960 377365068600 379427172800 384682396800 402522739840 410859009600 427293369984 433969828890 445097260400 455312607360 456810346200 462901150816 464449315200 487264369280 503153424800 534116712480 562228118400 569140759200 578626438520 603784109760 609080461600 667645890600 694351726224 712155616640 723283048150 730896553920 754730137200 758854345600 821718019200 867939657780 890194520800 913620692400 925802301632 1006306849600 1068233424960 1084924572225 1138281518400 1157252877040 1207568219520 1218160923200 1335291781200 1388703452448 1446566096300 1461793107840 1509460274400 1735879315560 1780389041600 1827241384800 1851604603264 2012613699200 2136466849920 2169849144450 2276563036800 2314505754080 2436321846400 2670583562400 2777406904896 2893132192600 3018920548800 3471758631120 3560778083200 3654482769600 4339698288900 4629011508160 5341167124800 5554813809792 5786264385200 6037841097600 6943517262240 7308965539200 8679396577800 9258023016320 10682334249600 11572528770400 13887034524480 17358793155600 23145057540800 27774069048960 34717586311200 46290115081600 69435172622400 138870345244800
- Sum of all divisors σ(n): 554656514621760
- Sum of proper divisors (its aliquot sum) s(n): 415786169376960
- 138870345244800 is an abundant number, because the sum of its proper divisors (415786169376960) is greater than itself. Its abundance is 276915824132160
Bases of 138870345244800
- Binary: 111111001001101010001011001100100100000100000002
- Hexadecimal: 0x7E4D45992080
- Base-36: 1D845M16DC
Squares and roots of 138870345244800
- 138870345244800 squared (1388703452448002) is 19284972788409945971927040000
- 138870345244800 cubed (1388703452448003) is 2678110829163062537155623133556539392000000
-
The
square root of 138870345244800 is 11784326.2533247949 -
The
cube root of 138870345244800 is 51784.9035534357
Scales and comparisons
How big is 138870345244800?- 138,870,345,244,800 seconds is equal to 4,415,647 years, 22 weeks, 13 hours, 20 minutes.
-
To count from 1 to 138,870,345,244,800 would take you about eleven million, thirty-nine thousand, one hundred eighteen years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138870345244800 cubic inches would be around 4315.4 feet tall.
Recreational maths with 138870345244800
- 138870345244800 backwards is 008442543078831
- 138870345244800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138870345244800's digits is 57
- More coming soon!
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"Number 138870345244800 - Facts about the integer". Numbermatics.com. 2024. Web. 27 September 2024.
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Numbermatics. (2024). Number 138870345244800 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/138870345244800/
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The information we have on file for 138870345244800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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